Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
A circle is simply a closed 2-dimensional curved shape with no edges or corners.
Area of a circle is expressed as;
A = πr²
Where r is the radius of the circle and π is pi ( π = 3.14159 ).
For cake A;
From the previous expression of area of a circle
Area of A = πr²
Area of A = 3.14159 × (4in)²
Area of A = 3.14159 × 16in²
Area of A = 50.23in²
Hence, the area of the first cake is 50.23in².
For cake B;
From the previous expression of area of a circle
Area of B = πr²
Area of B = 3.14159 × (6in)²
Area of B = 3.14159 × 36in²
Area of B = 113.1in²
Hence, the area of the second cake is 113.1in².
For cake C;
From the previous expression of area of a circle
Area of C = πr²
Area of C = 3.14159 × (7.5in)²
Area of C = 3.14159 × 56.25in²
Area of C = 176.7in²
Hence, the area of the third cake is 176.7in².
Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
Hence;
Area of the first cake is 50.23in².
Area of the second cake is 113.1in².
Area of the third cake is 176.7in².
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